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Simplifying y + 8z = -3y + 12z Solving y + 8z = -3y + 12z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. y + 3y + 8z = -3y + 3y + 12z Combine like terms: y + 3y = 4y 4y + 8z = -3y + 3y + 12z Combine like terms: -3y + 3y = 0 4y + 8z = 0 + 12z 4y + 8z = 12z Add '-8z' to each side of the equation. 4y + 8z + -8z = 12z + -8z Combine like terms: 8z + -8z = 0 4y + 0 = 12z + -8z 4y = 12z + -8z Combine like terms: 12z + -8z = 4z 4y = 4z Divide each side by '4'. y = z Simplifying y = z
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